L 16 Heat and Thermodynamics [1] World and US energy Consumption What is temperature? How is it measured? What is heat? What is the difference between heat and temperature? Applications: engines, refrigerators, air conditioners, human body, electric power production systems It’s all about how ENERGY is used. The US uses about 25 % of the total Temperature is not the whole story! Hot toast Drilling • Cake and pan just taken out of a 400° oven. • Both are at 400° • You can touch cake but not the pan! • You can handle toast right out of the toaster • Don’t burn your tongue Engines • After drilling into a piece of metal, the drill bit is very hot • You can also get the drill bit hot by placing it in a torch • Is the a difference in the outcome? Human engine • Any device which uses heat to do work • Steam engine, internal combustion engine Burn fuel Æ boil water (steam) Æ push piston (work) • The human body is an engine. • Food in Æ metabolism Æ work out • Energy in Æ Hero’s engine BODY ENGINE Æ Energy out • We are all subject to the laws of thermodynamics 1 Energy transfers Internal energy & Temperature • All systems have internal energy • The internal energy is the sum of the energy of all the molecules in the system • For example- in a gas the molecules are in random motion – each molecule has kinetic energy (energy of motion = ½ m v2) • If we add up all the kinetic energies of all the molecules we get the internal energy • All systems (living organisms and mechanical) are continually exchanging energy with other systems or their environment. System B System A Energy transfer examples • • • • • Ice melts in water Water Æ ice in freezer Pop cools in refrigerator The sun warms you on an autumn day Water is circulated through your car engine to maintain a steady temperature Thermodynamics: • Is the study of heat and its transformation into mechanical energy. • It is a set of a few basic empirical rules (derived from observation) that place limits of how these transformations can occur, and how efficiently they can be carried out. Laws of thermodynamics in a nutshell Engines energy in Efficiency = Engine Work out Energy in System C Work out I. You can’t get more work out than the energy you put in (conservation of energy). II. You can’t even get as much out as you put in (engine efficiency cannot be 100%). 2 Energy conversion Temperature measurement • We use the fact that the properties of materials change with temperature • For example: Conversion and distribution losses 30% o Metals expand with increasing temp o Length of liquid column expands o Electrical resistance changes o Pressure of a gas increases with temp o Infrared emission from objects changes color 30 years ago almost 50% of energy was lost as waste heat. Things are improving! Can we trust our senses of hot and cold? Length of a mercury column Mercury column Will both fingers feel the same temperature when they are put in the warm water? Temperature scales: based on freezing and boiling points of water Celsius scale 100° boiling point Fahrenheit scale 212° 100° 180° 0° freezing point 32° Mercury reservoir • The length of the Hg column increases with temperature • How is the thermometer calibrated? • Æ temperature scales – Fahrenheit – Celsius – Kelvin Centigrade & Fahrenheit scales • Scales are offset ( 0 °F is not 0°C) • Celsius scale is compressed compared to the Fahrenheit scale • 1°C = 180/100 = 9/5 °F • Conversion formulas: ¾TC = (5/9) × (TF – 32) ¾TF = (9/5 × TC) + 32 3 Examples Absolute zero – as cold as it gets! 1) What is the temperature in C if the temperature is 68°F? TC = (5/9) ×(TC – 32 ) = (5/9)×(68 – 32) = (5/9) × (36) = 20°C 2) What is the temperature in F if the temperature is – 10 °C? TF = (9/5 × TC) + 32 = (9/5 × – 10) + 32 = – 18 + 32 = 14°F Absolute zero • There is nothing particularly significant about 0°C or 0°F. • Is there a temperature scale where 0 really is ZERO? It doesn’t get any colder than this! • YES– It is called the KELVIN scale. • At zero Kelvin, all molecular motion stops. • We can see this from the behavior of gases Kelvin scale Gas Pressure • TK = TC + 273.15° • One degree K = one degree C °C 273.15 °C As a gas is cooled, its pressure decreases. If we imagine continuing to cool it, the P vs T plot for all quantities of gas extrapolate to - 273.15 C This is absolute zero! • There are NO negative Kelvin temperatures, zero is the minimum. Thermal Expansion L1 L2 Metal bar at T1 Metal bar at T2 > T1 • Expansion occurs in all dimensions • Expansion must be taken into account when designing roads and bridges in climates that vary significantly from winter to summer – all materials expand, steel, concrete, asphalt . . . 4
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